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A question about Math conventions on GRE
[#permalink]
27 Jan 2019, 23:25
27 Jan 2019, 23:25
HI
Can someone please explain the highlighted part in the following?
If r, s, and t are integers and then rs = t, r and s are factors, or divisors, of t; also, t is a multiple of r (and of s) and t is divisible by r (and by s). The factors of an integer include positive and negative integers. For example, −7 is a factor of 35, 8 is a factor of -40 and the integer 4 has six factors: -4,-2,-1,1, 2, and 4. The terms factor, divisor, and divisible are used only when r, s, and t are integers. However, the term multiple can be used with any real numbers s and t provided r is an integer. For example, 1.2 is a multiple of 0.4, and is a −2π is a multiple of π.
Thanks
Can someone please explain the highlighted part in the following?
If r, s, and t are integers and then rs = t, r and s are factors, or divisors, of t; also, t is a multiple of r (and of s) and t is divisible by r (and by s). The factors of an integer include positive and negative integers. For example, −7 is a factor of 35, 8 is a factor of -40 and the integer 4 has six factors: -4,-2,-1,1, 2, and 4. The terms factor, divisor, and divisible are used only when r, s, and t are integers. However, the term multiple can be used with any real numbers s and t provided r is an integer. For example, 1.2 is a multiple of 0.4, and is a −2π is a multiple of π.
Thanks
Re: A question about Math conventions on GRE
[#permalink]
05 Feb 2019, 13:21
05 Feb 2019, 13:21
2
Expert Reply
Hey there!
What you need to know here are that the terms "factor," "divisor," and "divisible" only apply to integers. Otherwise, there would be an infinite number of factors for every number.
So, 10 is a factor of 100, because 10(10) = 100. Everything is an integer. 100 is divisible by 10, and 10 is a divisor of 100.
However, 8 is not a factor of 100, even though 8(12.5) = 100. In that case, 12.5 is not an integer, so that throws everything off. When we're talking about factors, divisible, and divisors, everything must be an integer.
9.2, then, is not divisible by anything, and is not a factor of anything, and does not have any divisors.
However, 9.2 is a multiple of 4.6. This is because 2(4.6) = 9.2. This means that the term multiple is a bit more flexible. It can be applied to non-integers so long as one of the numbers being multiplied is an integer.
The number 4.84 is not a multiple of 2.2, because 2.2(2.2) = 4.84. Neither of the numbers being multiplied are integers, so 4.84 is not a multiple.
But 4.4 is a multiple of 2.2, because 2(2.2) = 4.4. Since one of the numbers being multiplied is an integer, 4.4 is a multiple of the other one.
Does that make sense?
What you need to know here are that the terms "factor," "divisor," and "divisible" only apply to integers. Otherwise, there would be an infinite number of factors for every number.
So, 10 is a factor of 100, because 10(10) = 100. Everything is an integer. 100 is divisible by 10, and 10 is a divisor of 100.
However, 8 is not a factor of 100, even though 8(12.5) = 100. In that case, 12.5 is not an integer, so that throws everything off. When we're talking about factors, divisible, and divisors, everything must be an integer.
9.2, then, is not divisible by anything, and is not a factor of anything, and does not have any divisors.
However, 9.2 is a multiple of 4.6. This is because 2(4.6) = 9.2. This means that the term multiple is a bit more flexible. It can be applied to non-integers so long as one of the numbers being multiplied is an integer.
The number 4.84 is not a multiple of 2.2, because 2.2(2.2) = 4.84. Neither of the numbers being multiplied are integers, so 4.84 is not a multiple.
But 4.4 is a multiple of 2.2, because 2(2.2) = 4.4. Since one of the numbers being multiplied is an integer, 4.4 is a multiple of the other one.
Does that make sense?
Re: A question about Math conventions on GRE
[#permalink]
05 Feb 2019, 22:56
05 Feb 2019, 22:56
1
fifan wrote:
HI
Can someone please explain the highlighted part in the following?
If r, s, and t are integers and then rs = t, r and s are factors, or divisors, of t; also, t is a multiple of r (and of s) and t is divisible by r (and by s). The factors of an integer include positive and negative integers. For example, −7 is a factor of 35, 8 is a factor of -40 and the integer 4 has six factors: -4,-2,-1,1, 2, and 4. The terms factor, divisor, and divisible are used only when r, s, and t are integers. However, the term multiple can be used with any real numbers s and t provided r is an integer. For example, 1.2 is a multiple of 0.4, and is a −2π is a multiple of π.
Thanks
Can someone please explain the highlighted part in the following?
If r, s, and t are integers and then rs = t, r and s are factors, or divisors, of t; also, t is a multiple of r (and of s) and t is divisible by r (and by s). The factors of an integer include positive and negative integers. For example, −7 is a factor of 35, 8 is a factor of -40 and the integer 4 has six factors: -4,-2,-1,1, 2, and 4. The terms factor, divisor, and divisible are used only when r, s, and t are integers. However, the term multiple can be used with any real numbers s and t provided r is an integer. For example, 1.2 is a multiple of 0.4, and is a −2π is a multiple of π.
Thanks
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